Abstract:
We study a model of the color skyrmion in the vacuum field in the framework of the color group $SU(3)$ and one flavor in the four-dimensional space. We obtain the static mass functional and variational equations, determine the asymptotic behavior, and evaluate the interskyrmion potential for the case of the spherically symmetric skyrmion configuration.
Citation:
V. Yu. Novozhilov, Yu. V. Novozhilov, “Color Skyrmion in the Vacuum Field: Asymptotic Behavior, Stability, and the Possibility of Confinement”, TMF, 131:1 (2002), 62–71; Theoret. and Math. Phys., 131:1 (2002), 498–505
\Bibitem{NovNov02}
\by V.~Yu.~Novozhilov, Yu.~V.~Novozhilov
\paper Color Skyrmion in the Vacuum Field: Asymptotic Behavior, Stability, and the Possibility of Confinement
\jour TMF
\yr 2002
\vol 131
\issue 1
\pages 62--71
\mathnet{http://mi.mathnet.ru/tmf1950}
\crossref{https://doi.org/10.4213/tmf1950}
\zmath{https://zbmath.org/?q=an:1045.81568}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 131
\issue 1
\pages 498--505
\crossref{https://doi.org/10.1023/A:1015101702599}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000175678000006}
Linking options:
https://www.mathnet.ru/eng/tmf1950
https://doi.org/10.4213/tmf1950
https://www.mathnet.ru/eng/tmf/v131/i1/p62
This publication is cited in the following 5 articles:
A. A. Andrianov, V. A. Andrianov, “Bosonization of the meson sector of QCD and parity breaking in strong interactions”, Theoret. and Math. Phys., 185:1 (2015), 1370–1382
Novozhilov V.Yu., “Color solitons in the extended chiral group \it{e}”, Vestnik sankt-peterburgskogo universiteta. seriya 4: fizika. khimiya, 2012, no. 3, 66–72
Novozhilov, V, “CHIRAL PARAMETRIZATION OF QCD VECTOR FIELD IN SU(3)”, Modern Physics Letters A, 23:39 (2008), 3285
V. Yu. Novozhilov, Yu. V. Novozhilov, “Soliton–skyrmion in the extended chiral group $E\chi$ including
diquark parameters”, Theoret. and Math. Phys., 149:3 (2006), 1632–1638
Jooss Ch., Lutz J., “The evolution of the universe in the light of modern microscopic and high-energy physics”, 1st Crisis in Cosmology Conference, CCC-I, AIP Conference Proceedings, 822, 2006, 200–205